199938 has 16 divisors (see below), whose sum is σ = 408960. Its totient is φ = 65136.

The previous prime is 199933. The next prime is 199961. The reversal of 199938 is 839991.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 199896 and 199905.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 199938.

It is not an unprimeable number, because it can be changed into a prime (199931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73 + ... + 636.

It is an arithmetic number, because the mean of its divisors is an integer number (25560).

2¹⁹⁹⁹³⁸ is an apocalyptic number.

199938 is an abundant number, since it is smaller than the sum of its proper divisors (209022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199938 is a wasteful number, since it uses less digits than its factorization.

199938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761.

The product of its digits is 17496, while the sum is 39.

The square root of 199938 is about 447.1442720197. The cubic root of 199938 is about 58.4743111697.

The spelling of 199938 in words is "one hundred ninety-nine thousand, nine hundred thirty-eight".